question archive 20 Is it significant? Over several years and many thousands of students, 85% of the high school students in a large city have passed the competency test that is one of the requirements for a diploma
20 Is it significant? Over several years and many thousands of students, 85% of the high school students in a large city have passed the competency test that is one of the requirements for a diploma
Subject:StatisticsPrice: Bought3
20 Is it significant? Over several years and many thousands of students, 85% of the high school students in a large city have passed the competency test that is one of the requirements for a diploma. Now reformers claim that a new mathematics curriculum will increase the percentage who pass. A random sample of 1000 students follow the new curriculum. The school board wants to see an improvement that is statistically significant at the 5% level before it will adopt the new program for all students. If p is the proportion of all students who would pass the exam if they followed the new curriculum, we must test Ho: p = 0.85 Ha: p > 0.85 (a) Suppose that 868 of the 1000 students in the sample pass the test. Show that this is not significant at the 5% level. (Use your calculator, STAT>TESTS>A: 1-PropZint function to calculate the p-value. See your collaborative activity and the video lecture for help.) (b) Suppose that 869 of the 1000 students pass. Show that this is significant at the 5% level. (Use your calculator, STAT>Calc>1-PropZint function to calculate the p-value. See your collaborative activity and the video lecture for help.) (c) Is there a practical difference between 868 successes in 1000 tries and 869 successes? What can you conclude about the importance of a fixed significance level?
